• DocumentCode
    1357859
  • Title

    Autoregressive equivalents of rank order processors

  • Author

    Butz, Arthur R.

  • Author_Institution
    Dept. of Electr. Eng. & Comput. Sci., Northwestern Univ., Evanston, IL, USA
  • Volume
    38
  • Issue
    6
  • fYear
    1990
  • fDate
    6/1/1990 12:00:00 AM
  • Firstpage
    1050
  • Lastpage
    1052
  • Abstract
    A theory is presented which shows that any rank order processor (ROP) specified as a positive regular set over the binary alphabet, and any ROP implementable via a stack encoding as input to identical finite-set sequential machines, is also implementable in finite autoregressive form with conventional input encoding, provided an internal state vector is properly defined. Any such ROP algorithm can be factored into computations of the median of three values. The theory also shows how ROPs may be derived from arbitrary partially ordered finite sets
  • Keywords
    filtering and prediction theory; finite automata; set theory; signal processing; time series; binary alphabet; finite autoregressive form; finite-set sequential machines; internal state vector; partially ordered finite sets; positive regular set; rank order processors; signal processor; stack encoding; Acoustics; Automata; Encoding; Filters; Lattices; Mathematical model; Polynomials; Signal processing; Signal processing algorithms; Speech;
  • fLanguage
    English
  • Journal_Title
    Acoustics, Speech and Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0096-3518
  • Type

    jour

  • DOI
    10.1109/29.56065
  • Filename
    56065